Contemporary welcoming New Age feeling (12)
I believe the answer is:
presentiment
'feeling' is the definition.
(I know that presentiment is a feeling)
'contemporary welcoming new age' is the wordplay.
'contemporary' becomes 'present' (I can't justify this - if you can you should believe this answer much more).
'welcoming' means one lot of letters goes inside another (in sense of 'inviting in').
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'age' becomes 'time' (I've seen this before).
'n'+'time'='ntime'
'present' placed around 'ntime' is 'PRESENTIMENT'.
Can you help me to learn more?
(Other definitions for presentiment that I've seen before include "An intuitive feeling" , "bad feeling" , "Intuitive foreboding" , "Feeling of apprehension" .)