  As part of the BANANA project (Binaries Are Not Always Neatly Aligned), we
have found that the eclipsing binary CV Velorum has misaligned rotation axes.
Based on our analysis of the Rossiter-McLaughlin effect, we find sky-projected
spin-orbit angles of $\beta_{\rm p} = -52\pm6^{\circ}$ and $\beta_{\rm s}=
3\pm7^{\circ}$ for the primary and secondary stars (B2.5V $+$ B2.5V, $P=6.9$
d). We combine this information with several measurements of changing projected
stellar rotation speeds ($v \sin i_{\star}$) over the last $30$ years, leading
to a model in which the primary star's obliquity is $\approx65^{\circ}$, and
its spin axis precesses around the total angular momentum vector with a period
of about $140$ years. The geometry of the secondary star is less clear,
although a significant obliquity is also implicated by the observed time
variations in the $v \sin i_{\star}$. By integrating the secular tidal
evolution equations backward in time, we find that the system could have
evolved from a state of even stronger misalignment similar to DI Herculis, a
younger but otherwise comparable binary.
