To make over an attractive person is rather eccentric (6)
I believe the answer is:
oddish
'rather eccentric' is the definition.
(somewhat odd or eccentric)
'to make over an attractive person' is the wordplay.
'to make' becomes 'do' (eg to make or 'do' a meal).
'over' is a reversal indicator.
'an attractive person' becomes 'dish' (I've seen this before).
'do' in reverse letter order is 'od'.
'od'+'dish'='ODDISH'
'is' is the link.
(Other definitions for oddish that I've seen before include "Fairly unusual" , "kind of crackers" , "A bit peculiar" , "a little rum" , "Rather strange" .)