Crossword Genius

Relative casually left after sailor overturned dish (6,5)

Ross

I believe the answer is:

banana split

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

'dish' is the definition.

'relative casually left after sailor overturned' is the wordplay.
I cannot quite understand how this works, but
'relative' could be 'nana' (I've seen this before) and 'nana' is present in the answer.
'left' could be 'split' (split can mean to run away or leave) and 'split' is found within the answer.
The remaining letters 'ba' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for banana split that I've seen before include "Ice cream dish" , "Fruit and ice cream dessert" , "Ice-cream dish" , "sweet food" .)

I've seen this clue in The Times.
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