I have some garden pinks that have been a bit overshadowed and crowded so have grown a bit too leggy and straggly, so I want to move them to a more open site. If I replant them a bit deeper will they root from the buried stems (a bit like taking cuttings but still attached to the plant) or will that kill them?

Take cuttings then you'll have loads :)

Pinks

I'm not very successful with cuttings even though everyone says it's impossible to fail. :-(

try splitting the plants at the roots to propagate them--sorry that of course doesn't mean pulling the plant OFF its roots, I mean root division...:-{ brain not functioning

Yes they should send up shoots from the buried stems, I have seen on gardening programmes where a plant has become "bald" in the middle and putting compost over the bald shoots has rejuvenated the plant, may not flower till next year.

Yes give it a go or if  the plant itself is about the size of a tea/dinner plate then cut into smaller sections and plant those......