Resilience enlivens European taken out in recession (7)
I believe the answer is:
stamina
'resilience' is the definition.
(I've seen this before)
'enlivens european taken out in recession' is the wordplay.
'enlivens' becomes 'animates' ('animate' can be a synonym of 'enliven').
'european' becomes 'E' (abbreviation e.g. EU).
'taken out' is a deletion indicator.
'in recession' says the letters should be written backwards (letters recede or go back).
'animates' with 'e' taken out is 'animats'.
'animats' in reverse letter order is 'STAMINA'.
(Other definitions for stamina that I've seen before include "Staying power, ability to withstand prolonged strain" , "fortitude" , "Staying-power, endurance" , "Ability for sustained effort" , "The ability to sustain prolonged physical or mental effort" .)