Javascript ES6, 43 bytes

setInterval(_=>console.log(new Date()),1e3)

Works with my current time settings (which have not been changed for some time, thank you), at least.

Javascript ES6, 43 39 bytes

setInterval(_=>console.log(Date()),1e3)

Works with my current time settings (which have not been changed for some time, thank you), at least.

4 bytes saved by Conor O'Brien.

Javascript ES6, 58 bytes

setInterval(_=>console.log(new Date().toTimeString()),1e3)

Works with my current time settings (which have not been changed for some time, thank you), at least.

Javascript ES6, 43 bytes

setInterval(_=>console.log(new Date()),1e3)

Works with my current time settings (which have not been changed for some time, thank you), at least.

Javascript ES6, 73 bytes

setInterval(_=>console.log(new Date().toTimeString().substring(0,8)),1e3)

Works with my current time settings (which have not been changed for some time, thank you), at least.

Javascript ES6, 58 bytes

setInterval(_=>console.log(new Date().toTimeString()),1e3)

Works with my current time settings (which have not been changed for some time, thank you), at least.