No integrity does not mean clumsy. Clumsy and integrity are completely different words.
Clumsy.
clumsy, accidental
clumsy, or accidental
Clumsy and heavy
clumsy, awkward
electronic waste not waist
Other names for clumsy are awkward, uncoordinated, ungainly, graceless, and inelegant. Clumsy means lacking social skills and graces, or done in an awkward manner.
um mental person and clumsy
awkward means clumsy and weird
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".