Cochylidia rupicola, the chalk-cliff tortrix or conch, is a moth of the family Tortricidae.

Cochylidia rupicola is a small moth with a wingspan of 13–15 millimetres (0.51–0.59 in).

Forewings show a rounded apex, a broad brown median fascia and characteristic postmedian and subapical markings.

The larvae feed on the flowers and seeds of hemp agrimony (Eupatorium cannabinum), gypsywort (Lycopus europaeus), and of Chrysocoma linosyris during August to October.

The chalk-cliff tortrix can be found in a wide range of habitats, on the woodland margins, in marshes and fens, in stream banks and in lanes.