Papers oddly eschewing coolest pin-ups (5)
I believe the answer is:
idols
'pin-ups' is the definition.
(both can mean celebrities)
'papers oddly eschewing coolest' is the wordplay.
'papers' becomes 'ID' (identification papers).
'oddly eschewing' means one should take alternating letters (letters in odd-numbered positions removed).
The alternating letters of 'coolest' are 'ols'.
'id'+'ols'='IDOLS'
(Other definitions for idols that I've seen before include "Graven images sometimes worshipped" , "Much-admired persons" , "False gods" , "Solid (anag.)" , "Effigies worshipped as gods" .)