Lockdowns were a morally and medically appropriate anti-contagion policy to stop the spread of Covid. However, lockdowns came with considerable costs. Specifically, lockdowns imposed harms and losses upon the young in order to benefit the elderly, who were at the highest risk of severe illness and death from Covid. This represented a shifting of the (epidemiological) burden of Covid for the elderly to a systemic burden of lockdown upon the young. This article argues that even if lockdowns were a morally permissible response to Covid, the harms and losses they imposed on the young ground a claim of compensation. I defend an intergenerational compensation argument that defends a claim for an egalitarian intergenerational transfer to compensate the young for the harms of lockdown.