This is the repealed Clause IV mentioned---
"To secure for the workers by hand or by brain the full fruits of their industry and the most equitable distribution thereof that may be possible upon the basis of the common ownership of the means of production, distribution, and exchange, and the best obtainable system of popular administration and control of each industry or service."
With the loss of this, Labour effectively moved from socialism to being a social democratic capitalist party.
It was replaced by:
"The Labour Party is a democratic socialist party. It believes that by the strength of our common endeavour we achieve more than we achieve alone, so as to create for each of us the means to realise our true potential and for all of us a community in which power, wealth and opportunity are in the hands of the many, not the few. Where the rights we enjoy reflect the duties we owe. And where we live together, freely, in a spirit of solidarity, tolerance and respect."
Although they mention socialism by name, it's pretty much lip-service.