Esteemed leaders from President Eisenhower's Cabinet entering relaxed (9)
I believe the answer is:
respected
'esteemed' is the definition.
('respect' can be a synonym of 'esteem')
'leaders from president eisenhower's cabinet entering relaxed' is the wordplay.
'leaders from' says to take the initial letters.
'entering' indicates putting letters inside.
'relaxed' becomes 'rested' (I've seen this in another clue).
The initial letters of 'president eisenhowers cabinet' is 'pec'.
'pec' put within 'rested' is 'RESPECTED'.
(Other definitions for respected that I've seen before include "Had a high regard for someone" , "'Esteemed, showed deference to (9)'" , "Held in esteem" , "Looked up to" , "Held in high regard" .)