Given that the Minimum Income Requirement has not increased at all since being introduced in 2012, I would not be surprised by a significant rise.
Those of you who have upcoming family members visa renewals may want to look at bringing them forward (though keep in mind that they need to last long enough to meet the ILR/next visa renewal timelines as well).
The other set of people who should reflect on this is people on PBS visas who are looking at applying for ILR under Long Residence. They should keep in mind that getting ILR under Long Residence will mean that their PBS dependents will need to switch to the family members visas route.
The Times article also mentions that she is looking at restricting students and worker visas, but given that there are large lobbies (universities and employers) who would scream blue murder and the economic impact of restricting those (and we have a Prime Minister who is a former Chancellor of the Exchequer and hence more aware of the economics of it all than most), I suspect that the burden of restricting immigration will fall on the family members visas.
Note that at this point, nothing is definitive, merely a newspaper article. But given that it is the paper of record in the UK, I would take it seriously.
The Times: Suella Braverman targets spouses and students in plan to cut immigration
It was also suggested a few weeks ago, that asylum seekers arriving illegally to the UK may lose the ability to acquire ILR (and therefore British citizenship, for which some form of settled status is a mandatory requirement). Annoyingly I can't find a link to the newspaper article now.
This is the closest link that I could find, but its provenance is unknown.
UK immigration: what Suella Braverman said about new plans for asylum seekers - and are they legal?
The UNHCR's Frequently asked questions ... in the UK is worth a read in this context.The report, which was written by Nick Timothy, a former advisor to Theresa May, and supposedly modelled on Australia’s ‘Operation Sovereign Borders’, recommends:
Indefinite detention of all asylum seekers who enter the country illegally.
Legislation barring migrants who enter the country illegally from ever settling in Britain.
Laws making it impossible to claim asylum in the UK after travelling from a safe country...
In light of at least two changes above (on asylum seekers and on the MIR), I would expect major changes to the Immigration Rules in the new year.