Asking someone to be cautious is an example of an admonition.
Origin of admonition
- Middle English amonicioun from Old French amonition from Latin admonitiō admonitiōn- from admonitus past participle of admonēre to admonish admonish
From American Heritage Dictionary of the English Language, 5th Edition
- Middle English amonicioun, from Old French amonicion, from Latin admonitio, stem of admonere. The -d- was restored in English in the 17th century.