I am arriving at T3 of Dubai DXB from Jet Airways and having an onward
flight to Kiev Boryspil KBP with Ukrainian Airlines from T2. Flight
departure time is 09:20 hours and I have bought a single ticket.
Terminal 3 is for Qantas and Emirates only. Jet Airways flights arrive at Terminal 1.
"Ukrainian Airlines" - I think you mean "Ukraine International Airlines" which also uses Terminal 1.
Now, since both your airlines are using Terminal 1, you don't need to worry about transferring terminals.
If you are on one ticket for the entire journey, then your luggage will be transferred.
If you have two separate tickets then you'll need to enter Dubai (which means, you'll need a visa), collect your luggage, and then check in again.
It also means you cannot board your Jet Airways flight unless you are able to land and enter in Dubai.