Very rarely, cell towers are taken down. But this would be the exception -- not the norm. What kind of dispute are you talking about? There are a few so-called cell tower lease consulting companies that are contractors working for carriers like ATT, Sprint or T-Mobile etc who contact landlords and try to re-negotiate the terms of cell tower leases and essentially threaten them to agree to new rental terms or risk losing their cell tower. Is this what you are hinting at?
Cell towers constructed in the early 1990's by companies like Nynex mobile, etc are all still standing. Tower companies like Crown and American Tower are all trying to extend their existing cell tower leases for 15, 20 25 years at a clip.
Can you be more specific about the kind of dispute you are having?