Both rather drunk, fans may swoon over him (5-5)
I believe the answer is:
heart-throb
'fans may swoon over him' is the definition.
The answer is a person as well as being a singular noun. This is suggested by the definition.
'both rather drunk' is the wordplay.
'drunk' indicates an anagram.
'both'+'rather'='bothrather'
'bothrather' is an anagram of 'HEART-THROB'.
Can you help me to learn more?
(Other definitions for heart-throb that I've seen before include "Romantic and good-looking male celebrity" , "Excitingly good-looking man" , "Subject of infatuation" , "Person arousing romantic infatuation" , "One inciting romantic feelings" .)