Here's an excellent article, Myths of 'social mobility', which takes apart the seductive but bogus arguments about a supposed meritocracy. Alan Milburn, Blairite ultra and (I regret to say) a son of the North East,has recently revived the rhetoric of social mobility and meritocracy. In fact it is a cover for continuing vast inequality in British society.
One issue alluded to here is that of higher education, and the way grants abolition and the introduction of fees helped entrench inequalities in access to university. This stark reality makes a mockery of the weasel words from champions of neoliberalism like Milburn.