  Supersymmetry may resolve the disagreement between the precision electroweak
data and the direct limit on the higgs mass, if there are light sneutrinos in
the mass range 55 GeV $ < m_{\snu} < $ 80 GeV. Such sneutrinos should decay
invisibly with 100% branching ratio and contribute to the $\gamma$ + missing
energy signal, investigated by all the LEP groups. It is shown that while the
data accumulated by a single group may not be adequate to reveal such
sneutrinos, a combined analysis of the data collected by all four groups will
be sensitive to $m_{\snu}$ in the above range. If no signal is found a lower
bound on $m_{\snu}$ stronger than that obtained from the $Z$-pole data may
emerge.
