What does it mean to register the half-radishes?

In his description of meanness, Theophrastus says:

" Entertaining his clansmen, he will beg a dish from the common table for his own servants; and will register the half-radishes leftover from the repast, in order that the attendants may not get them. "

What does it mean to register the half-radishes leftover from the meal ( repast )?

Apart from that, why does this count as mean?

Thank you!