Fan jacket of denim, drier on the outside (7)
I believe the answer is:
admirer
'fan' is the definition.
(an admirer is a fan of something)
'jacket of denim drier on the outside' is the wordplay.
'jacket of' means to remove the middle letters (only the word's outer letters or 'jacket' remain).
'drier' becomes 'airer' (frame for airing wet clothes).
'on the outside' indicates putting letters inside.
'denim' with its middle taken out is 'dm'.
'dm' put into 'airer' is 'ADMIRER'.
(Other definitions for admirer that I've seen before include "One who regards (someone) with respect" , "Married to one who thinks highly of" , "Married to suitor" , "Supporter or suitor" , "girlfriend?" .)