Cutting out noise spikes

With Audacity 1.3 I was able to easily cut out any noise spike by highlighting a very narrow window encompasing the spike then clicking on “cut”. With Audacity the best I can do is highlight a whole second while being unable to locate the window except between the fixed second markings. It’s impossible to cut out a noise spike without also losing one entire second of recorded material! How can I restore the flexibility of the Version 1.3 capability?

See here:

There are software packages that can recognize and treat clicks and pops. Your timeline will behave like that if you have Snap To selected at the bottom of the window.