A creator (finder) of anagrams, one who comes up with anagrams.(noun)
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Use "anagrammatist" in a sentence
"When the anagrammatist takes a name to work upon, he considers it at first as a mine not broken up, which will not show the treasure it contains till he shall have spent many hours in the search of it; for it is his business to find out one word that conceals itself in another, and to examine the letters in all the variety of stations in which they can possibly be ranged."
"Is the fact that he appeals subconsciously to my inner anagrammatist why I like the man?"
""Henriot, an ingenious anagrammatist, discovered the following anagram for the occasion of the 15th:"