Gather case of Sancerre will rise in value (6)

I believe the answer is:

esteem

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

'value' is the definition.
(I know that value can be written as esteem)

'gather case of sancerre will rise' is the wordplay.
'gather' is an anagram indicator (I've seen 'gathered' mean this).
'case of' suggests removing the centre (like emptying a case).
'will rise' becomes 'teem' (I can't justify this - if you can you should give a lot more credence to this answer).
'sancerre' with its middle taken out is 'se'.
'se' is an anagram of 'es'.
'es'+'teem'='ESTEEM'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for esteem that I've seen before include "Floor covering" , "Set a high value on" , "Think well of" , "Count" , "Think highly of, have regard for" .)

I've seen this clue in The Telegraph.

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