Lay in rum, rum for famous person (8)
I believe the answer is:
luminary
'famous person' is the definition.
(luminary is a kind of famous person)
'lay in rum rum' is the wordplay.
'rum' indicates an anagram (rum can mean strange or unusual).
'lay'+'in'+'rum'='layinrum'
'layinrum' anagrammed gives 'LUMINARY'.
'for' is the link.
(Other definitions for luminary that I've seen before include "Leading light" , "Prominent member of a group" , "Person who inspired others" , "Prominent person" , "Person of influence" .)