The answers to the clues are
MOSEY SEAL LIMBS SEPIA EUROS SERVO RHEA TAILS TENOR GLOVE THEM POLIO POLE REALM FLAXY MILES DAILY GLUON MAYBE ANNOY DEEP PRESS LOOSE GOOF GERM EPOXY DROLL DELL THEE
Each boundary edge begins a chain of rhombi obtained by exiting a rhombus through the edge opposite the edge entered; each chain ends at one of the heavy lines in the grid. Fitting the clue answers into the grid and reading the letters in the shaded squares we obtain the answer to the puzzle, BOXES.
2006 MIT Mystery Hunt