The most reliable source of data is the ONS surveys. They show that infections have been increasing since mid August. Hospital admissions have been increasing since early September - and remember that hospital admission typically occurs 10-14 days after infection. The reason we haven't - yet - seen an increase in deaths is that most new cases have been in the young, who're less likely to get severely ill. That, unfortunately, is now changing: the virus is now spreading to more vulnerable groups.
Indeed, both the ONS and hospital admissions show a doubling time of 8 days. It's crucial to understand the importance of this: if this continues, we will be right back to where we were just before lockdown (100,000 new infections every day) by mid October. We don't have "a lid on the situation"; we have exponential growth. With a typical lag from infection to death of three weeks we can expect to see a sharp rise in fatalities by the end of the month, and over 1000 deaths every day by the end of October.
Unfortunately, test and trace is not working particularly well, and only 20% of those told to self isolate actually do. Which is not surprising, many people will lose their jobs if they do - we need to be supporting those people (and not just financially) in order to deliver much needed improvements. Without improvement, I see little chance that this second wave will be quelled. I fear that the eventual death toll will be much higher than the first wave, as so many people are weary of lockdown, so are less willing to comply.
My advice, for what it's worth, is to wear a mask, maintain social distancing, wash your hands, and above all avoid crowds and busy places. Stay safe!