No integrity does not mean clumsy. Clumsy and integrity are completely different words.
Clumsy.
electronic waste not waist
clumsy, accidental
clumsy, or accidental
clumsy, awkward
Clumsy and heavy
Other names for clumsy are awkward, uncoordinated, ungainly, graceless, and inelegant. Clumsy means lacking social skills and graces, or done in an awkward manner.
awkward means clumsy and weird
um mental person and clumsy
I suspect you mean maladroit, in which case it means inept or clumsy.
You could try the word "bulky" which can mean "awkwardly large; big and clumsy".