تعب الشوق تعب = Tired الحنين = Nostalgia , missing , Longing .. This is a Metaphor in Arabic language which known as borrowing .. so The sentence ( تعب الشوق ) is likening the nostalgia as a tired person why tired ?? because of his-her deep missing to someone ..

There is an Arabic song titled [ تعب الشوق] it means the missing or longing get tired which means even missing to you get tired from your absence . get tired = [taaeb] تعب missing = [ ashow'] الشوق