  We explore secular dynamics of a recently discovered hierarchical triple
system consisting of the radio pulsar PSR J0337+1715 and two white dwarfs
(WDs). We show that three body interactions endow the inner binary with a large
forced eccentricity and suppress its apsidal precession, to about 24% of the
rate due to the general relativity. However, precession rate is still quite
sensitive to the non-Newtonian effects and may be used to constrain gravity
theories if measured accurately. Small value of the free eccentricity of the
inner binary $e_{i}^{free}\approx 2.6\times 10^{-5}$ and vanishing forced
eccentricity of the outer, relatively eccentric binary naturally result in
their apsidal near-alignment. In addition, this triple system provides a unique
opportunity to explore excitation of both eccentricity and inclination in
neutron star-WD binaries, e.g. due to random torques caused by convective
eddies in the WD progenitor. We show this process to be highly anisotropic and
more effective at driving eccentricity rather than inclination. The outer
binary eccentricity as well as $e_{i}^{free}$ exceed by more than an order of
magnitude the predictions of the eccentricity-period relation of Phinney
(1992), which is not uncommon. We also argue that the non-zero mutual
inclination of the two binaries emerges at the end of the Roche lobe overflow
of the outer (rather than the inner) binary.
