Doctor Rees still making latticework structures? (9)

I believe the answer is:

trellises

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

'latticework structures?' is the definition.
'trellises' can be an answer for 'structures?' (trellis is a kind of structure). I'm not sure about the 'latticework' bit.

'doctor rees still' is the wordplay.
'doctor' indicates anagramming the letters.
'rees'+'still'='reesstill'
'reesstill' with letters rearranged gives 'TRELLISES'.

'making' is the link.

Can you help me to learn more?

(Other definitions for trellises that I've seen before include "latticed structures" , "Plant supports" .)

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

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