When we as Catholics come to Mass, we do not come ‘to eat’. Because we do not receive some food; we receive the Body of Christ. This is a main difference between Catholics and Protestants as how we view the “Eucharist”.
What it does refer to, I guess, is easy to imagine for anyone who celebrated Christmas recently: You could imagine that one of the guests you invited, would come to eat and, hungry as he is, start before everything is on table and the host has ‘opened the banquet’.
Now, in the Early Christian period, it was common to treat special dinners almost liturgically: Meaning, it was an abuse to start eating before everybody was together.
And this again reflects toward Jesus’ Last Supper: Jesus used the liturgical dinner as the stage for the Last Supper. The Eucharist is more than ‘reliving’ the Last Supper: We celebrate the Death at the Cross, where Jesus didn’t give just bread, but gave His Body.