Spy's neat move, getting out of Gateshead (5)
I believe the answer is:
agent
'spy's' is the definition.
(secret agent)
'neat move getting out of gateshead' is the wordplay.
'move' indicates anagramming the letters.
'getting out of' indicates putting letters inside (to be outside something can mean to be around it).
'gateshead' becomes 'g' (head letter of 'gates').
'neat' anagrammed gives 'aent'.
'aent' placed around 'g' is 'AGENT'.
(Other definitions for agent that I've seen before include "Representative - means" , "One does business on behalf of another" , "He or she acts for actors" , "Vehicle" , "Spy; representative" .)