Long facial hair has tip removed (4)
I believe the answer is:
ache
'long' is the definition.
(to long for something is to ache for it)
'facial hair has tip removed' is the wordplay.
'facial hair' becomes 'tache' (I've seen this before).
'has tip removed' means to remove the first letter.
'tache' with its first letter removed is 'ACHE'.
(Other definitions for ache that I've seen before include "strong feeling" , "Feel sore" , "Hanker" , "Continuous hurt" , "Long ? pain" .)