Moving to cave, I have to be suggestive (9)
I believe the answer is:
evocative
'suggestive' is the definition.
(thesaurus)
'moving to cave i have' is the wordplay.
'moving' is an anagram indicator (letters are moved around).
'i have' becomes 'I've' (contraction of 'I have').
'to'+'cave'='tocave'
'tocave' is an anagram of 'evocat'.
'evocat'+'ive'='EVOCATIVE'
'to be' acts as a link.
(Other definitions for evocative that I've seen before include "Tending to arouse memories" , "stirring feelings" , "Conjuring up strong feelings" , "summoning up bygone age" , "Thought-provoking" .)