Exploring some support for Crosby (7)

I believe the answer is:

probing

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

'exploring some support' is the definition.
'probing' can be an answer for 'exploring' (I've seen this in another clue). I am unsure of the 'some support' bit.

'for crosby' is the wordplay.
'for' becomes 'pro' (as in being 'pro' something).
'crosby' becomes 'bing' (singer Bing Crosby).
'pro'+'bing'='PROBING'

Can you help me to learn more?

(Other definitions for probing that I've seen before include "Testing" , "Investigating - prodding" .)

I've seen this clue in the Sydney Morning Herald.

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