  Most theories that predict time and/or space variation of fundamental
constants also predict violations of the Weak Equivalence Principle (WEP).
Khoury and Weltmann proposed the chameleon model in 2004 and claimed that this
model avoids experimental bounds on WEP. We present a contrasting view based on
an approximate calculation of the two body problem for the chameleon field and
show that the force depends on the test body composition. Furthermore, we
compare the prediction of the force on a test body with E\"otv\"os type
experiments and find that the chameleon field effect cannot account for current
bounds.
