You’re not supposed to store chloroform in platic containers.
Why not? What happens if you do?
It dissolves the plastic.
And your date gets away! 
Not all plastics dissolve in chloroform, e.g. most grades of polythene and polypropylene dont , but most others will (e.g. PET, perspex, PVC, polystyrene). However even the ones that dont may get weakened by the solvent.
I should note that in our lab we put chloroform into HD polyethylene squeeze bottles quite routinely with no problems.
Even if the plasics themselves don’t dissolve it is almost guaranteed that the plasticizers will, and over time this will degrade the plastic not to mention ruin any confidence you have in the purity of the chloroform.
Yes that is a pretty safe thing to do. But when writing guidelines, you don’t assume the reader knows the difference. It’s much safer to say don’t put chloroform in plastic, than to try to explain what the exceptions are.
One time, I had a CD that was skipping. I thought, "Well, I’ll just run some dichloromethane over it to clean it. " Don’t do that.
As a matter of fact I´ve used chloroform to glue acrylic pieces together; it dissolves the plastic and when it dries up the bond is quite strong and, most importantly, invisible.
polyethylene and polypropylene in general do not have plasticizers hence are safe