It flows through parts of gritty Newcastle (4)

I believe the answer is:

tyne

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'it flows through parts' is the definition.
The definition suggests a singular noun which matches the answer.

'of gritty newcastle' is the wordplay.
'of' says the answer is hidden in the clue.
'TYNE' is hidden in the letters of 'gritty newcastle'.

Can you help me to learn more?

(Other definitions for tyne that I've seen before include "River running through Newcastle" , "River of northeast England" , "River at Jarrow" , "River of NE England" , "English river" .)

I've seen this clue in The Irish Times.

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