  We analyse the fine-tuning constraints arising from absence of superpartners
at LEP, without strong universality assumptions. We show that such constraints
do not imply that charginos or neutralinos should have been seen at LEP,
contrary to the usual arguments. They do however imply relatively light gluinos
$(m_{\tilde g} \lsim 350 GeV)$ and/or a relation between the soft-breaking
SU(3) gaugino mass and Higgs soft mass $m_{H_U}$. The LEP limit on the Higgs
mass is significant, especially at low $\tan \beta$, and we investigate to what
extent this provides evidence for both a lighter gluino and correlations
between soft masses.
