It is almost 2 years since I last heard any details about DCC resume in eggdrop. If I remember rightly, eggdrop does have support, but not the type that mIRC uses. BitchX uses can resume.
Don't take my word on it, as I havn't looked, and it's hear-say that may mind recalled.
i just tried, with XChat windows client etc it works, but not mIRC style
some ppl told me it would be possible to write a TCL that converts the incoming mIRC style DCC Resume request to Default eggdrop / XChat / BitchX style request so the bot can handle it, but they have no idea how to do this (neither do i).