Crossword Genius

Foreigner given a wave? (7)

Ross

I believe the answer is:

mexican

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

'foreigner' is the definition.
The answer and definition can be both people as well as being singular nouns.
Maybe there's a link between them I don't understand?

'a wave?' is the wordplay.
I cannot really understand how this works, but
'a' could be 'an' and 'an' is located in the answer.
This explanation may well be incorrect...

'given' acts as a link.

Can you help me to learn more?

(Other definitions for mexican that I've seen before include "A central American" , "From Chihuahua, perhaps" , "Latin" , "From Guadalajara or Acapulco?" .)

I've seen this clue in the Evening Standard.
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