Would insurance find it medically necessary to cover Latisse if I suffer from trichotillomania?

most insurance companies will not cover it for that purpose in TTM. you should definitely contact them, and also try to get your doctor to write a letter of appeal, youll be surprised how many letters get accepted with a well worded letter. 
we are constantly trying to get allergan to help get latisse approved for hypotrichosis in ttm, so far it is only approved for cosmetic purposes and not therapeutic purposes like yours. 
hope this answer helps in some way. 
best 

Abdulla Fakhro MD MRCS

You’ll want to contact your insurance company directly. Usually they do not. Latisse does not solve the underlying issue in TTM and generally speaking insurance companies want to support treatments that directly address the underlying issue.  However, in combination with counseling, or pharmacotherapy, Latisse can still be a good option to try to promote hair growth. By itself, it is not effective and only serves to draw more attention to the lashes (or area affected).