I'm not looking now but over the last 2 years or so I was and it was tough then. I found it really demoralising since each application requires a certain amount of emotional investment.
At the time, it seemed to me that the 'teacher shortage' was largely a myth. Certainly in my region there are loads of qualified teachers with years of experience even in my very niche subject.
Plenty of times I applied and that application just sank like a stone. Other times, through contacts and acquaintances I found out that the advertisement didn't really mention some key interest or requirement - like the job I interviewed for where it turned out they really wanted an RS/RE teacher who could take a few language lessons. In that instance, the person they hired did not even know the language for which they originally advertised! They hired her without testing her subject knowledge and she was unable to prepare their GCSE candidates!!!
Or another where I interviewed but one of the other candidates was a former headmaster and department head for the subject in question - so a 'super candidate', if you will.
About a year ago, I asked a recently hired colleague how she came to be hired and she said that although, obviously, she was as good a candidate as any, it had all been a string of coincidences. When she turned up to the interview, the other candidates had withdrawn so she was the only one. She taught a demo lesson, took a tour and was offered the job.
So my best advice is, even though it's tough, keep slogging away and the circumstances should turn in your favour.