When should endocytosis inhibitors be used in cell binding assays?
As with so many things, it depends. Also, I'm a bit unclear when you say antibody-receptor interaction, do you mean that you have an antibody that's specific for a receptor, or that you're studying Fc receptors binding to antibodies? (for the following, I assume the former)

For most cell types and most cell surface molecules, simple antibody binding isn't going to induce endocytosis, and keeping the cells on ice is sufficient to prevent most background endocytosis (i'd do the assays in a cold room as well so that even when you take tubes out of the ice bucket they stay cold).

On the other hand, if you're using highly phagocytic cells (like macrophages), and/or you're triggering a receptor through cross-linking or some other mechanism, you might get some endocytosis that affects your results.

The mechanism (clathrin vs non) can also vary, again depending on what's being bound. 

You should do some optimization - ie: do the same assay on a set of samples, with or without  inhibition and see if your antibody binding is affected. But be aware that a lot of drugs for inhibiting endocytosis can do other stuff too, so watch out for artifacts. Maybe read this: http://www.ncbi.nlm.nih.gov/pubmed/18369934