Such hypocrisy is not possible, it appears (4)
I believe the answer is:
cant
'such hypocrisy' is the definition.
'cant' can be an answer for 'hypocrisy' (I've seen this before). I am unsure of the 'such' bit.
'not possible it appears' is the wordplay.
'not possible' becomes 'can' (I can't explain this - if you can you should give a lot more credence to this answer).
'it' becomes ''t' (abbreviation. e.g. in 'tis).
'appears' means one lot of letters go next to another (some letters appear after others).
'can'+'t'='CANT'
'is' is the link.
Can you help me to learn more?
(Other definitions for cant that I've seen before include "Affected use of moral sentiments" , "tilt" , "Hypocritical speech" , "peculiar talk" , "Hypocritical or sanctimonious talk" .)