Sleep after school, taking quiet second drink (8)

I believe the answer is:

schnapps

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

'drink' is the definition.
(schnapps is a kind of drink)

'sleep after school taking quiet second' is the wordplay.
'sleep' becomes 'nap' (a nap is a short sleep).
'after' is a charade indicator (letters next to each other).
'school' becomes 'sch' (abbreviation).
'taking quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet. I am not sure about the 'taking' bit.).
'second' becomes 's' (common abbreviation).
'nap' put after 'sch' is 'schnap'.
'schnap'+'p'+'s'='SCHNAPPS'

Can you help me to learn more?

(Other definitions for schnapps that I've seen before include "Dutch spirit distilled from potatoes" , "Strong drink like gin" , "Holland gin" , "Strong spirits drunk in northern Europe, strong on consonants" , "Strong spirit drink" .)

I've seen this clue in The Times.

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