Runs into old PM around Teesside town (4)

I believe the answer is:

yarm

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'teesside town' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.

'runs into old pm around' is the wordplay.
'runs' becomes 'r' (cricket abbreviation).
'into' is an insertion indicator.
'old pm' becomes 'may' (Theresa May).
'around' is a reversal indicator.
'r' going within 'may' is 'mray'.
'mray' back-to-front is 'YARM'.

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