A name in Conservative party supporting new and old? That's not possible (2,3,2)
I believe the answer is:
no can do
'that's not possible' is the definition.
(I've seen this before)
'a name in conservative party supporting new and old?' is the wordplay.
'a name in conservative party' becomes 'oc' (I am not sure about this - if you are sure you should believe this answer much more).
'supporting' means one lot of letters go next to another (in a down clue, some letters go below others).
'new' becomes 'n'.
'old?' becomes 'o' (common abbreviation eg in OE for Old English).
'oc' put after 'n' is 'noc'.
'noc'+'and'+'o'='NO CAN DO'
Can you help me to learn more?
(Other definitions for no can do that I've seen before include "Nothing manageable" , "off-putting response" , "Can't manage it, see doc anon" , "That's not possible" , "Absolutely not!" .)