Crossword Genius

Cricket player to grab flipped box for the woven mats (7)

Ross

I believe the answer is:

batsman

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

'flipped box for the woven mats' is the definition.
I can't tell whether this definition defines the answer.

'cricket player to grab' is the wordplay.
'cricket' becomes 'bats' (I can't explain this - if you can you should believe this answer much more).
'player' becomes 'man'.
'to grab' says to put letters next to each other.
'bats'+'man'='BATSMAN'

Can you help me to learn more?

(Other definitions for batsman that I've seen before include "One at the crease" , "Player at crease" , "one of two on the field" , "Hitting ballplayer" , "Cricketer at the crease" .)

I've seen this clue in The Hindu.
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