  The mean time taken by a Brownian particle to cover a distance $L$ is
$L^2/2D$, with $D$ being its diffusion coefficient. We find that restarts
increase this mean time. This is because restarts naturally introduce time
overheads which need to be taken into account while addressing the escape
properties. In addition, restarts impose a constraint on allowed overhead
functions if they are to provide an advantage, that is, a reduced mean escape
time. We explicitly study these constraints for Poisson and sharp restarts.
Implementing an overhead function to control escape times means that the
physical properties of the Brownian particle need to be appropriately modified.
When restarts are non-instantaneous, an additional delay is introduced
increasing the mean escape time further. Can restarts overcome the delays
incurred due to finite return times? To restart, or not to restart, should be
the question.
