We study the role of the brane-induced graviton kinetic term in theories wi
th large extra dimensions. In five dimensions, we construct a model with a
TeV-scale fundamental Planck mass and a flat extra dimension the size of wh
ich can be astronomically large. Four-dimensional (4D) gravity on the brane
is mediated by a massless zero mode, whereas the couplings of the heavy Ka
luza-Klein modes to ordinary matter are suppressed. The model can manifest
itself through the predicted deviations from Einstein theory in long-distan
ce precision measurements of the planetary orbits. The bulk states can be a
rather exotic form of dark matter, which at subsolar distances interact vi
a strong 5D gravitational force. We show that the induced term changes dram
atically the phenomenology of submillimeter extra dimensions. For instance,
high-energy constraints from star cooling or cosmology can be substantiall
y relaxed.