Crossword Genius

Bishop is not in good shape making way through the house (4)

Ross

I believe the answer is:

bill

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

'good shape making way through the house' is the definition.
I can't judge whether this definition defines the answer.

'bishop is not' is the wordplay.
'bishop' becomes 'b' (abbreviation used in chess).
'is not' becomes 'ill' (I can't explain this - if you can you should give a lot more credence to this answer).
'b'+'ill'='BILL'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for bill that I've seen before include "Promontory; beak" , "informing of damage" , "Law proposal" , "Reckoning" , "Poster' charge" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).
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