French article gives the others anxiety (6)
I believe the answer is:
unrest
'anxiety' is the definition.
(I've seen this in another clue)
'french article gives the others' is the wordplay.
'french article gives' becomes 'un' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'the others' becomes 'rest' (I've seen this before).
'un'+'rest'='UNREST'
Can you help me to learn more?
(Other definitions for unrest that I've seen before include "Disquiet; disturbance" , "Discontent verging on insurrection" , "State of uneasiness" , "'Discontent, anxiety (6)'" , "revolutionary state" .)