From Longman Dictionary of Contemporary Englishcut your teeth (on something)cut your teeth (on something)EXPERIENCEto get your first experience of doing something and learn the basic skills Both reporters cut their journalistic teeth on the same provincial newspaper. → cut
Examples from the Corpus
cut your teeth (on something)• He cut his teeth at places like Claridges; the Carlton, Cannes.• The entrepreneurial owner cut his teeth on a Schweizer 300 which he still owns.• Sutton and Packford both cut their teeth on the old hot-metal newspaper production process.