Servers evicting one short child slide over the drink (8)
I believe the answer is:
waterski
'the drink' is the definition.
I know nothing about this answer so I can't judge whether this works.
'servers evicting one short child slide' is the wordplay.
'servers' becomes 'waiters' ('waiter' can be a synonym of 'server').
'evicting' is a deletion indicator.
'one' becomes 'i' (Roman numeral).
'short child slide' becomes 'ki' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'waiters' with 'i' taken out is 'waters'.
'waters'+'ki'='WATERSKI'
'over' acts as a link.
Can you help me to learn more?
(Other definitions for waterski that I've seen before include "Engage in sport" , "Take part in a sport" .)