Old Peruvian at home starts to creep away (4)
I believe the answer is:
inca
'old peruvian' is the definition.
(the Inca were a historical people of Peru)
'home starts to creep away' is the wordplay.
'home' becomes 'in' ('he's home' can mean 'he's in').
'starts to' indicates taking the first letters.
The first letters of 'creep away' is 'ca'.
'in'+'ca'='INCA'
'at' acts as a link.
(Other definitions for inca that I've seen before include "Ancient Peruvian Indian" , "Member of Andean people conquered by Spain" , "Pre-conquest South American Indian" , "Old person in race" , "Andean culture" .)