Vagrant getting transport to Peterhead (5)
I believe the answer is:
tramp
'vagrant' is the definition.
(I know that vagrant can be written as tramp)
'transport to peterhead' is the wordplay.
'transport' becomes 'tram' (method of transport).
'to peterhead' becomes 'p' (head letter of 'peter').
'tram'+'p'='TRAMP'
'getting' acts as a link.
(Other definitions for tramp that I've seen before include "Traveller" , "Mendicant" , "Walk heavily - steamer" , "Heavily plod around" , "Live as a vagrant" .)