Crossword Genius

Phil's number one cut — that was close! (4)

Ross

I believe the answer is:

phew

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

'was close' is the definition.
I can't judge whether this definition defines the answer.

'phil's number one cut' is the wordplay.
'phil's number one' becomes 'p' (hst letter of 'phil').
'cut' becomes 'hew' (I've seen this before).
'p'+'hew'='PHEW'

'that' is the link.

Can you help me to learn more?

(Other definitions for phew that I've seen before include "Gosh, I'm sweltering!", "Recover unharmed", "Sound relieved", "thank goodness!", "Gosh, that's a relief!".)

I've seen this clue in The Guardian.
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