Anagrammatise

To create an anagram; to rearrange the letters of a word or phrase to form new words or meanings (British spelling).

Formed from 'anagram' plus the suffix '-atise,' which is the British variant of '-atize.' Both suffixes come from Greek '-izein' and create verbs meaning 'to make' or 'to engage in' the noun. The '-ise' ending is standard in British English.