"I am going to be there in the afternoon."
Translation:Já tam budu odpoledne.
No, budu is not a clitic at all. Tam is an inconstant clitic so it wins.
You can indeed hear "Já budu tam!" or "Tam budu já!", but that is different. Tam is an inconstant clitic. It can be in the stressed first or final position as well. But when unstressed, it must be in the second position.