Encouragement over time to move faster (5)
I believe the answer is:
spurt
'move faster' is the definition.
'spurt' can be an answer for 'move' (spurting is a kind of moving). I'm not certain of the 'faster' bit.
'encouragement over time' is the wordplay.
'encouragement' becomes 'spur' (spur is a kind of encouragement).
'over' means one lot of letters go next to another (in a down clue, some letters go over others).
'time' becomes 't' (abbreviation).
'spur'+'t'='SPURT'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for spurt that I've seen before include "Gush out suddenly" , "Gush; sudden burst" , "A short burst of activity" , "Short spell of increased speed" , "Jet, gush" .)