Crossword Genius

After some smoking, figure turning up means to catch some in school? (7)

Ross

I believe the answer is:

dragnet

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

'to catch some in school?' is the definition.
I can't tell whether this defines the answer.

'after some smoking figure turning up' is the wordplay.
'after some smoking' becomes 'drag' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'figure' becomes 'ten' (ten is a number).
'turning up' shows that the letters should be reversed in order.
'ten' backwards is 'net'.
'drag'+'net'='DRAGNET'

'means' is the link.

Can you help me to learn more?

(Other definitions for dragnet that I've seen before include "Granted (anag.); police search" , "Comprehensive search" , "Systematic search (for criminals)" , "Intense police search for suspect" , "Seabed trawl" .)

I've seen this clue in The Times.
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