Nasty gal seen laughing at my tongue (7,8)

I believe the answer is:

english language

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

'tongue' is the definition.
(I know that English language is a tongue)

'nasty gal seen laughing' is the wordplay.
'nasty' is an anagram indicator (a nasty or wrong spelling).
'gal'+'seen'+'laughing'='galseenlaughing'
'galseenlaughing' is an anagram of 'ENGLISH LANGUAGE'.

'at my' is the link.
This may not be correct. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Another definition for english language that I've seen is " style of communication we understand".)

I've seen this clue in the Sydney Morning Herald.

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