A bird to greet agitatedly (5)
I believe the answer is:
egret
'a bird' is the definition.
(egret is a kind of bird)
'greet agitatedly' is the wordplay.
'agitatedly' indicates anagramming the letters (I've seen this in other clues).
'greet' anagrammed gives 'EGRET'.
'to' is the link.
(Other definitions for egret that I've seen before include "Kind of white heron - greet it" , "Kind of heron with long white feathers" , "Bird eating fish" , "White, plumed waterbird" , "Type of forty eight Ac" .)