  We examine the possible unparticle effects on $R(D^{(*)})$ associated with
$B\to D^{(*)}\tau\nu$ decays by minimum-$\chi^2$ fitting. Recent measurements
from Belle and LHCb are included in this analysis. While it is true that the
new experimental results of $R(D^{(*)})$ get closer to the standard model
predictions, there are still rooms for new physics and unparticles are also one
possibility. Our best-fit values are $R(D)=0.456$ and $R(D^*)=0.270$, which are
still far from the standard model values by more than ($R(D)$) or almost
($R(D^*)$) $2\sigma$. We also find that the unparticle effects are quite safe
to render the branching ratio ${\rm Br}(B_c\to\tau\nu)$ less than 10\%.
