  The aim of this note is to explore Susskind's proposal [arXiv:1802.01198] on
the connection between operator size in chaotic theories and the bulk momentum
of a particle falling into black holes (see also [arXiv:1804.04156, 1806.05574,
1904.12819, 1912.05996, 2006.03019] for more recent generalizations), in a
broad class of models involving Gauss-Bonnet(GB) and Lifshitz-Hyperscaling
violating theories in AdS. For Gauss-Bonnet black holes, the operator size is
seen to be suppressed as the coupling constant $\lambda$ is increased. For the
Lifshitz-hyperscaling violating theories characterised by the parameters $z$
and $\theta$, the operator size is higher as compared to case $z=1,\theta=0$
(Reissner-Nordstrom AdS black holes). In the case of operators with global
charge corresponding to charged particles falling into black holes, suppression
of chaos is seen in general theories of gravity, in conformity with the
original proposal [arXiv:1802.01198] and earlier findings [arXiv:1806.05574].
