Why?
double [two] divots [disruptions in an otherwise smooth surface] framing [creating a border enclosing something]
All that’s missing from the context is the ‘something’ that is being framed. That is exactly the same omission as in the examples I gave.
I’m well aware that the actual divot is the turf removed, but that doesn’t make sense in this context. I did not mean my statement to be authoritative on what the exact meanings of the words were, but as a way of explaining how the words were being used in this instance. I didn’t feel it was necessary to be pedantic about something that had already been mentioned previously in the thread.
I assume the OP’s problem is that the portion of the text that contains “double divot framing” is a sentence fragment. In fact, the entire paragraph is full of them. I’m not sure why it’s not written as follows:
But the fuss was in large part about the hat itself. Its text, “Make America Great Again,” is a shameless rip-off of Ronald Reagan’s 1980 campaign slogan “Let’s Make America Great Again.” (Note how Trump tweaks it to be both less inclusive and more bossy.) The hat’s foamy front is apparently made from a repurposed beer koozie. Double divots frame the central peak. And, of course, there’s the braided rope that elegantly stretches across its brim.
The reason it doesn’t make sense in this context is that the word usage is wrong.
It’s true the author in the OP’s quote misused the word, but I’m not sure that’s an argument for saying that " ‘Divots’ are indentations in the ground caused by a golf club striking a ball."
They aren’t. Divots are the clumps. (At least, they are the clumps until enough polloi misuse the word for its standardized usage to evolve.)
One man’s standard usage is another’s pedantry, but a review of GQ over the years would suggest that on average, accuracy is preferred over inexactness.
And perhaps the misuse of “divot” in the OP’s quote is a further argument that the evolution of language should be constrained by standardizing usage. When words are used carelessly, meaning suffers. When meaning suffers, clear communication suffers. Witness the failure to grasp the use of “divot” in the OP…
In golf it is perfectly correct usage of divot to mean either the chunk of grass/turf cut out of the ground or the area on the ground left scarred by it. This is not a new usage. Every golf course in the English speaking world uses the term with these meanings interchangeably. Google for how many times someone’s shot “wound up in a divot”, who sells “divot repair tools”, and how many golf course rules ask players to “please repair their divots”. In all these cases it is referring to the scarred area of ground left behind, not the missing chunk of grass itself.
Outside of golf it is also perfectly correct usage to mean a disruption in any otherwise smooth surface, a cavity, or the two lines on the front of Donald Trump’s hat.
I see your point. It’s just that the segment “double divots framing” is bizarre compared to your more everyday examples.
“Qua” stays in my mind from Bertie Wooster’s description of the humbling of Roderick Spode, the pride of English fascism:
“Spode, qua menace, was a spent force.”
The second section might not be accurate; I think it’s in *The Code of the Woosters. * His appearances are here, Roderick Spode - Wikipedia
Well, I’m stumped. I’m quite surprised that the word “divot” doesn’t also apply to the little hole in the ground, and similarly shaped depressions. I have heard both “Replace your divots” and “Repair your divots” all my life. And I’m sure I’ve both heard and used it often enough to refer to a small hole or depression. So much so, that I looked it up in several references, and not a one agrees with me, or even hints at an acceptable alternate usage.
How very odd. Ignorance fought!
Patent US5730226 - Divot repair device - Google…
While playing golf, it is common to land a ball on the green and leave a divot or indentation. It is proper golf etiquette to repair this divot so as not to affect …
http://www.caloriecount.com/forums/health-support/random-divot-skin
"There is an isolated, deep “divot” or indent in the skin on the back of my leg maybe about 5 or 6 inches above the back of my knee. "
The OP’s issues seem well answered, so I’ll extend the divot hijack a bit.
IANA golfer. If indeed the most uber-correct usage is that “divot” is the clump of dislodged grass, and only the clump, then there must also be a corresponding term of art for the resulting hole. Which term properly means the hole, the whole hole, and nothing but the hole. 
What is that word? Enquiring minds want to know.
Noun 1. divot - (golf) the cavity left when a piece of turf is cut from the ground by the club head in making a stroke divot - (golf) the cavity left when a piece of turf is cut from the ground by the club head in making a stroke; “it was a good drive but the ball ended up in a divot” Divot - definition of divot by The Free Dictionary
divot
Noun
(plural divots)
A torn up piece of turf (e.g. by a golf club in making a stroke or by a horse’s hoof).
A disruption in an otherwise smooth contour.
divot
See definition in Oxford Advanced Learner’s Dictionary
Line breaks: divot
Pronunciation: /ˈdɪvət/
Definition of divot in English:
noun
1A piece of turf cut out of the ground by a golf club in making a stroke or by a sports player’s boot:
“he hit a wedge shot and carved a hefty divot out of the fairway”
1.1A small hole made by the removal of a divot:
“if your ball finds a divot to rest in”
divot
1
n a piece of turf dug out of a lawn or fairway (by an animals hooves or a golf club)
Type of:
greensward, sod, sward, turf
surface layer of ground containing a mat of grass and grass roots
n (golf) the cavity left when a piece of turf is cut from the ground by the club head in making a stroke
http://www.vocabulary.com/dictionary/divot
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
n. (golf) the cavity left when a piece of turf is cut from the ground by the club head in making a stroke
n. a piece of turf dug out of a lawn or fairway (by an animals hooves or a golf club)
Divot
Definitions
WordNet 3.6
n divot a piece of turf dug out of a lawn or fairway (by an animals hooves or a golf club)
n divot (golf) the cavity left when a piece of turf is cut from the ground by the club head in making a stroke
divot
divot - Dictionary definition and meaning for word divot
Definition
(noun) (golf) the cavity left when a piece of turf is cut from the ground by the club head in making a stroke
Definition
(noun) a piece of turf dug out of a lawn or fairway (by an animals hooves or a golf club)
Thank you.
However, you missed the point that I was calling out your opposition. I’d like to see their side of the story. If they have one. If the term of art for the hole is some obscure word no-one other than 18th century Highlanders have ever heard or used, well that pretty well proves the proposition that “divot” is equally the hole and the plug.
If instead they tell us it’s called e.g. a “quatloo” and we all slap our collective foreheads and say “Oh yeah, I remember Dad calling it that when I was but a wee bairn of a golfer”, well then we have a different story.
Or in short: contemporary colloquial usage is not what’s at issue here. So contemporary colloquial references though valid aren’t informative. At least not for the Q I was trying to ask.
Well depending on how far back you need to go in order to establish the one and only true meaning of the word, it meant a chunk of grass used to make thatched roofing originally, since way before anyone played golf.
Today it is correctly used to describe any place where something is missing. A divot in your finger from a mishap when you were slicing a bagel years ago. A divot in your tooth that you really need to see a dentist about.
Its use isn’t limited to the two meanings it has in the game of golf and it was correctly used in the quote in the OP. It isn’t a common use but it is a correct one.
Thanks, I feel better now!