Transfer a small notice (6)
I believe the answer is:
assign
'transfer' is the definition.
(assigning is a kind of transfering)
'a small notice' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'notice' becomes 'sign' (I've seen this before).
'a'+'s'+'sign'='ASSIGN'
(Other definitions for assign that I've seen before include "Allocate, appoint" , "Make over" , "Allocate (duties to someone)" , "Allocate (a task or duty)" , "Allocate; designate" .)