This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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v. Present participle of monkey.

"She spent half an hour "monkeying" with the gate, and then stopped short and began to study."

to monkey around with   

monkeyed    monkeying    monkeys   

manipulate   

silky monkey    road-monkey    gibraltar monkey    monkey flush    monkey bass    monkey's dinner-bell    patas monkey    leonine monkey    monkey's allowance    king-monkey   

computer monkey    phone monkey   

ape    simian    jackanapes    entellus    guariba    sagoin    marimonda    mangabey    marmoset    Marikina   

chunky    clunky    funky    hunky    junkie    junky    punky    spunky   

cat    rat    rabbit    snake    pig    wolf    elephant    bird    deer    lizard