Cylinder seals, highy used in Mesopotamia, were never very popular in Egypt1. However, many with Pharaohs’ cartouches1 were presumably mainly used for correspondence with foreign rulers

Steatite H 2.4, Ø 0.7
Middle Kingdom
Dynasty 12, cartouche of Senwosret II
MET #34.1.27

Enamelled stone H 3.6, Ø 1.5
Kushite Dynasty 25, cartouches of Shabaka
2015 © Musée du Louvre/Christian Décamps #E 4878

References

1Petrie W M F. Scarabs and cylinders with names, London School of Archaeology in Egypt University College, Gower Street, W.C. and Constable & Co. Ltd., 10 Orange Street, Leicester Square, and Bernard Quaritch, 11 Grafton Street, New Bond Street, 1917, pp. 33, with additional index and LXXIII plates