My lawn is about 1/3 clover. Just grows wild.
The dirt here is mostly clay, if that significates.
I still love the clover, and it helps keep the grass a bit more sane - but the length of the grass is my primary fight.
They stay within about 50 yards of wherever their 'home' hole is, so they won't run off (although their offspring may!).
You still need to mow about twice a year to get rid of plants the rabbits don't like to eat, which will otherwise grow into bushes.
Your biggest headache with rabbits is they'll eat other plants you might want (vegetables etc), and will dig burrows in random places. But in my opinion, both those are well worth it for having a lawn that mows itself.
Do you have to milk clover seeds on the 3rd full moon after the 2nd Sunday after the Summer Solstice, in front of 2 dancing bears and 4 white bats?