Crossword Genius

Game with pool players having a ball (5,4)

Ross

I believe the answer is:

water polo

I'm a little stuck... Click here to teach me more about this clue!

'game' is the definition.
(water polo is a kind of game)

'with pool players having a ball' is the wordplay.
I cannot really see how this works, but
'with' could be 'w' (short for with) and 'w' is found in the answer.
an anagram of 'pool' is 'polo' which is present in the answer.
'a' is within the answer.
The remaining letters 'ter' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for water polo that I've seen before include "Game played by teams of swimmers with large ball" , "Team sport played in a swimming pool" , "Seven-a-side game involving swimming" , "Team sport with wet participants" , "Game played by tams of swimmers with large ball (5.4)" .)

I've seen this clue in The Telegraph.
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