Sponsors possibly shed tears seeing the style of Michael Foot's hair (9)

I believe the answer is:

backswept

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

'the style of michael foot's hair' is the definition.
I can't judge whether this defines the answer.

'sponsors possibly shed tears' is the wordplay.
'sponsors possibly' becomes 'backs' (I've seen this in another clue. I am not sure about the 'possibly' bit.).
'shed tears' becomes 'wept' (I've seen this before).
'backs'+'wept'='BACKSWEPT'

'seeing' is the link.

Can you help me to learn more?

I've seen this clue in The Independent.

Want a hint initially instead of a full solution? Install my app