Greet us perhaps with a wave? (7)
I believe the answer is:
gesture
'a wave?' is the definition.
(waving is a type of gesture)
'greet us perhaps' is the wordplay.
'perhaps' is an anagram indicator.
'greet'+'us'='greetus'
'greetus' is an anagram of 'GESTURE'.
'with' is the link.
(Other definitions for gesture that I've seen before include "Eg, shrug or wave" , "Expressive arm movement" , "Movement to express something" , "Gesticulate, sign" , "wave, perhaps?" .)