A Rasp of Sand is something different. It's a clever, slight hack of Knave 1e and an associated adventure. The premise is that your ancestors did something stupid and pissed off a goddess. Once every generation, there is a chance to atone for it. The players control the current heir of a family. The family has a trade, that works pretty much like a class and levels up each generation (5 times). On the rather deadly delve to appease the goddess, if a PC dies, the dungeon floods, the survivors run for their lives, and the next generation gets to try again in 25 years.
The next generation gets 1/6th of the last gen's XP, all of their mutations, one of their heirlooms and most of their memories (all of the delve knowledge, up to the GM for some situational stuff like languages). Survivors get to pick which one of their items get added to the family heirloom collection. Families of dead PCs get the one random item that was on their body when it washed up on the beach. The next generation also has the option of changing the families trade - you lose the previous trades abilities, but do get to go back to the level you were at if a later generation goes back to a previous trade).
AROS makes clever use of Knave 1e's ability rolls to give the next generation a potential boost on their abilities. In 1e, you roll 3d6 for each ability and take the lowest. AROS modifies it so that depending on the previous generations final ability defense, you may be able to take the middle or highest roll, instead. Knave 2e's ability scores are different - you get 3 points to distribute. The obvious hack for 2e is to give the next gen the same amount of points the previous gen had (accounting for level advancement), but you lose the limited inter-generational randomness. I've got the beginning of a sliding scale dice roll idea to change the score between generations, but it needs work.
Ability bonus/defense for later generations is the only thing that really ties A Rasp of Sand to Knave 1e. Monsters and some mutations to reference Ability Defense, but those cases are easy to convert to 2e or other OSR systems.