Flow out slowly (4)
(Other definitions for ooze that I've seen before include "Trickle slowly out, like mud" , "Flow out slowly or thickly" , "Seep, exude" , "Exude mud" , "Emit" .)
'flow out slowly' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for seep that I've seen before include "Flow or leak slowly" , "Trickle through slowly" , "Of liquid, ooze slowly out" , "Leak through an opening" , "Ooze, percolate" .)