Tipsy Chechens, full of spirit (6)
I believe the answer is:
Here is my best explanation:
'spirit' is the definition.
(psyche is a kind of spirit)
'tipsy chechens full of' is the subsidiary indication.
'full of' indicates a hidden word (inside).
'psyche' is hidden in the letters of 'tipsy chechens'.
(Other definitions for psyche that I've seen before include "Human mind or spirit", "Soul, spirit; lover of Cupid", "Soul - girl from Greek mythology", "Beloved of Eros", "Individuality", "The soul, spirit or mind", "Soul, mind, spirit", "Human faculty for thought - Cupid's lover", "The human spirit or mind" and "Eros's beloved".)