Crossword Genius

Was on the bench, say, with team lacking water carrier? (7)

Ross

I believe the answer is:

satchel

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

'carrier?' is the definition.
(I've seen this before)

'was on the bench say with team lacking water' is the wordplay.
I cannot really see how this works, but
'on' could be 'at' (I've seen this in other clues) and 'at' is present in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for satchel that I've seen before include "Text mark for an insertion" , "Carrier for school books" , "Bag -- latches (anag)" , "Small case with a shoulder strap" , "Bag for school books" .)

I've seen this clue in The Times.
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