from itertools import islice

linCirc  = [[1,10],
            [2, 1],
            [0, 2],
            [2, 2],
            [2, 3],
            [2, 4],
            [2, 0],
            [2, 5]]

it = iter(linCirc)
for element, n in it:
    if not element: # skip n elements
       next(islice(it, n, n), None) # see consume() recipe from itertools docs
    print(element, n)