Man's name cut into elm on Tyneside (5)
I believe the answer is:
monty
'man's name' is the definition.
(Monty is a man's name)
'cut into elm on tyneside' is the wordplay.
'cut into' indicates the answer is hidden within the clue (the answer has been included or cut into the clue).
'MONTY' can be found hidden inside 'elm on tyneside'.
(Other definitions for monty that I've seen before include "Nickname of World War II general" , "The Full - - (film)" , "Diminutive for Montgomery" .)