The reference here is probably to the pita bread commonly used by diners at banquets to wipe their hands. The bread would be discarded after use and snapped up by the dogs. Lazarus has a reasonable hope that, even if the servants fail to offer him the leftovers, the dogs might share their daily fare. Begging for food was often the sole means of sustenance for those with disabilities. There are strong hints that Lazarus has a serious disability: he is ‘sorely wounded’; he is ‘cast’ at the gate, by family or friends; he has no capacity to prevent the dogs from licking his sores.
Lazarus dies and is transported by angels into the arms of Israel’s iconic ancestor, Abraham. In contrast, the rich man dies and suffers the torment of Hades. There is no mention of angels to transport him to the place of his ancestors. The rich man’s suffering is exacerbated by the vision of the one whose needs he ignored in life, now ‘a long way off’ in Abraham’s embrace. Earlier in Luke’s story, Jesus has declared the bent-over woman to be a daughter of Abraham. Later, he will call the toll-collector Zacchaeus a ‘son of Abraham’. To be ‘of Abraham’ is to be true to the tradition inaugurated by Israel’s ancestor in faith. It is to ‘hear’ Moses and the prophets and their call to justice and right relationship.
Riches belong, not to the few, but to all of God’s people. If they are all-consuming, they destroy our capacity to see or hear what really matters. They are not much use in the afterlife. All the honour and status they might bring in life are quite worthless in the final analysis. The rich man comes to this realisation a bit too late. Even then, there is no recognition of the poor man’s shared humanity, only a desire to benefit from his services.