All UA reservations agents can see the list (or at least should be able to if they know how) and they can see where you are by position (since the lists are sorted by time added).

However, many agents will not give this information to a customer in the interests of not setting unreal expectations (you're #2 as a 1P but then it goes to DM at the airport and four UGS and 1Ks auto-trump you) or having 1Ks complain about being behind 1Ps because they do not understand how the list is sorted and processed.