Fawn upon grown-up relative finally touring area (7)
I believe the answer is:
adulate
'fawn upon' is the definition.
(thesaurus)
'grown-up relative finally touring area' is the wordplay.
'grown up' becomes 'adult' (I've seen this before).
'finally' indicates one should take the final letters.
'touring' is an insertion indicator (touring can mean going round).
'area' becomes 'a' (maths abbreviation).
The final letter of 'relative' is 'e'.
'adult'+'e'='adulte'
'adulte' placed around 'a' is 'ADULATE'.
(Other definitions for adulate that I've seen before include "Flatter excessively" , "Praise obsequiously" , "Excessively admire" , "Worship" , "Rave over" .)