JavaScript (ES6), 88 bytes

f=_=>console.log(new Date(i++*1e3).toUTCString().slice(17,25))
f(i=0,setInterval(f,1e3))

Essentially the same approach as @darrylyeo's answer, but works for all timezones and uses a slightly different way to get to 0.

[Edit] Darry's answer has been fixed. This is still shorter, though.

JavaScript (ES6), 88 bytes

f=_=>console.log(new Date(i++*1e3).toUTCString().slice(17,25))
f(i=0,setInterval(f,1e3))

Essentially the same approach as @darrylyeo's answer, but works for all timezones and uses a slightly different way to get to 0.

[Edit] Darryl's answer has been fixed. This is still shorter, though.

JavaScript (ES6), 88 bytes

f=_=>console.log(new Date(i++*1e3).toUTCString().slice(17,25))
f(i=0,setInterval(f,1e3))

Essentially the same approach as @darrylyeo's answer, but works for all timezones and uses a slightly different way to get to 0.

JavaScript (ES6), 88 bytes

f=_=>console.log(new Date(i++*1e3).toUTCString().slice(17,25))
f(i=0,setInterval(f,1e3))

Essentially the same approach as @darrylyeo's answer, but works for all timezones and uses a slightly different way to get to 0.

[Edit] Darry's answer has been fixed. This is still shorter, though.

JavaScript (ES6), 90 bytes

f=_=>console.log((new Date(i++*1e3)).toUTCString().slice(17,25))
f(i=0,setInterval(f,1e3))

Essentially the same approach as @darrylyeo's answer, but works for all timezones and uses a slightly different way to get to 0.

JavaScript (ES6), 88 bytes

f=_=>console.log(new Date(i++*1e3).toUTCString().slice(17,25))
f(i=0,setInterval(f,1e3))

Essentially the same approach as @darrylyeo's answer, but works for all timezones and uses a slightly different way to get to 0.