Bit of fruit that's a cause for embarrassment (6,4)
I believe the answer is:
banana skin
'cause for embarrassment' is the definition.
'banana skin' can be an answer for 'cause' (I have seen 'cause of embarrassment' mean 'banana skin' so perhaps 'cause' could also mean 'banana skin'). I'm not certain of the 'for embarrassment' bit.
'bit of fruit' is the wordplay.
I cannot really see how this works, but
'bit' could be 'i' (resembles 1, a binary digit or bit) and 'i' is located in the answer.
'fruit' could be 'bananas' (I've seen this before) and 'bananas' is located in the answer.
This may be the basis of the clue (or it may be nonsense).
'that's a' acts as a link.
Can you help me to learn more?
(Other definitions for banana skin that I've seen before include "One to slip on" , "Something causing downfall (colloq.)" , "potential hazard" , "something to cause embarrassment" , "slipper" .)