The most obvious way is to blatantly use a computer in front of everyone and load up any number of Scrabble word maker websites that create anagrams from the tiles he or she inputs.
They may involve unscrambling words, playing with anagrams, using the letters of one word to make other words, doing Mad Libs, or searching for words in a puzzle or word search.
Lycophron is also said to have been a skilful writer of anagrams.
Or try Wordsmith, which will generate endless anagrams for you.
We can now find anagrams where a word fits more than once into the original phrase.