From the east, serves in Lebanese cafe (4)

I believe the answer is:

aces

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'serves in lebanese cafe' is the definition.
'aces' can be an answer for 'serves' (ace is a kind of serve). I am not certain of the 'in lebanese cafe' bit.

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for aces that I've seen before include "winning shots" , "Tennis serves the receiver can't reach" , "Unreturnable services" , "that are non-returnable" , "wartime pilots?" .)

I've seen this clue in The Telegraph.

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