What you call the action of when someone does not do something for you quickly?
They give you a lot of excuses for not doing it but never actually say they won't do it.
Solution 1:
Stalling could work here:
to delay, especially by evasion or deception.
I asked him to do it, but he keeps stalling.
To procrastinate means to put off, so it could work, too, in some circumstances.
There are many other synonyms, each with different nuances of meaning. Thesaurus.com presents many choices.
Solution 2:
Dragging one's feet is another such phrase.
Solution 3:
Hemming and hawing:
hem and haw hesitate; be indecisive : I waste a lot of time hemming and hawing before going into action.
ORIGIN late 15th cent.: imitative.
Solution 4:
Temporize would work. The OED defines it thus:
†2. intr. To let time pass, spend time, ‘mark time’; to procrastinate; to delay or wait for a more favourable moment.
Solution 5:
Dawdling could be appropriate here, especially sense (2): to move lackadaisically