The leaves here are smooth not hairy. I wonder whether this could be Slender Sandwort (Arenaria serpyllifolia var. leptoclados)?
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Thanks for the correction. Thyme-leaved Sandwort had been recorded from the site before which made me jump to conclusions. But I'm not familiar with either species.
Lat/Lng: 51.46475, -2.34515
OS grid ref: ST761740