It looks like a sedum. Sorry can't say which one. To propagate it should be easy. If you dig any one of those stems there will probably be roots at the foot of it. Just transplant it.

Yes I agre it looks like sedum. In spring you could take 2 inch cuttings and it should root very eaily.

Pam whilst I can't give the sedum a name it is a tough as old boots and will easily survive you digging it up and transplanting. Make sure you don't leave any little bits behind as they will continue to grow!

First, I thought it was Sedum too, but these stems and blue green leaves look like Euphorbia to me. And, of course, you can easily transplant it, Pamsco.

try looking up Euphorbia myrsinites, I'm sure it's that one

The two plants mentioned have very similar foliage. The euphorbia has very distictive flowers unlike the sedum flowers. If you have a photo of them we could be more helpful.

Not a Sedum far more like a Euphorbia. No hardy Sedum that I know of has that kind of leaf and colouring. Easy enough to tell, snap a stem, if it leaks white milky sap then it is a Euphorbia, But don't get the sap anywhere near you eyes and mouth.

2ndhand's got it, its Euphorbia myrsinites - I grow this myself. Propagation is by soft cuttings in late spring/early summer, or from seed.

Euporbia cuttings are difficult, unless you do them quickly, because of the sap, which flows quickly and seals the cutting end. Dip the end of the cutting in tepid water for a few seconds to stem the flow when you take it. Be wary that the sap is a real irritant to some people, so to be safe I'd wear gloves. It is E. myrsinites, I think, although E. rigida is very similar. Worthy

Not E. rigida, which has more upright stems, and more pointed leaves. Looks more like the E. myrsinites that I have cooked in the summer here! ; )

Thanks all. I have noticed the same plant growing from a lumpy or rather a humpy crown. So I'll need to be careful where I transplant it.