Well now I’m officially disagreeing with you, but you’re probably right to the extent use of cyanoacrylates with animals given the fur and cleanliness issues.
Here’s a 2002 report from the Emergency Medicine Journal indicating no additional dressing is needed unless it’s likely to be picked at, for instance by a very young child.
Here’s an article quoting a New England Journal of Medicine article indicating that cyanoacrylates act as its own dressing. Singer, A.J., Hollander, J.E., & Quinn, J.V. (1997). Evaluation and management of traumatic lacerations. The New England Journal of Medicine, 33, 1142-1148.
Here’s an article from a wound care journal for nurses indicating cyanoacrylate dressings are more useful since gauze and bandaging are not required: Abstract: Evaluation of a Cyanoacrylate Dressing to Treat Skin Tears in the Acute Care Population (2010 WOCN/WCET Joint Conference (June 12-16, 2010))
Last, but, not least, here’s a portion of a Google book, Biomaterials for Clinical Applications indicating no other dressing is needed (if link doesn’t work, it’s at p. 229): Biomaterials for Clinical Applications - Sujata K. Bhatia - Google Books