Crossword Genius

Small rug from Barking Habitat I exchanged for money (4,3)

Ross

I believe the answer is:

bath mat

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

'barking habitat i exchanged for money' is the definition.
I can't tell whether this definition defines the answer.

'small rug' is the wordplay.
'small' becomes 'bath' (I am not sure about this - if you are sure you should believe this answer much more).
'rug' becomes 'mat' (both are floor coverings).
'bath'+'mat'='BATH-MAT'

'from' is the link.

Can you help me to learn more?

(Other definitions for bath mat that I've seen before include "it may get wet after a shower" , "Rug alongside washing facility" , "It takes wet feet" , "One may stand on it wet" , "One may be floored" .)

I've seen this clue in The Independent.
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