A prince's fruit and gin cocktail turning up (9)
I believe the answer is:
appearing
'turning up' is the definition.
(turn up can mean to appear or arrive)
'a prince's fruit and gin cocktail' is the wordplay.
'prince' becomes 'p' (abbreviation).
'fruit' becomes 'pear' (pear is a kind of fruit).
'and' means one lot of letters go next to another.
'cocktail' is an anagram indicator.
'gin' anagrammed gives 'ing'.
'a'+'p'+'pear'+'ing'='APPEARING'
(Other definitions for appearing that I've seen before include "Looking, seeming" , "Coming into view" .)