Language Alice translated after introduction to Greek (6)
I believe the answer is:
gaelic
'language' is the definition.
(Gaelic is an example)
'alice translated after introduction to greek' is the wordplay.
'translated' is an anagram indicator.
'after' means one lot of letters go next to another.
'introduction to' says to take the initial letters.
The first letter of 'greek' is 'g'.
'alice' with letters rearranged gives 'aelic'.
'aelic' after 'g' is 'GAELIC'.
(Other definitions for gaelic that I've seen before include "Characteristic of the Celts" , "Language of the Celts" , "Speech" , "The native language of Ireland" , "Irish language or Celtic language of Scotland" .)