As others mentioned your jumper should be the same as the speaker cables, but to answer your question rhodium takes a long time. But take pride in knowing you can hear the difference between different 4" sections of speaker cable, on half your speaker, unlike some people here. 
This is from Dave who owns Zenwave cables:
Teflon takes a really long time, although you may see large changes quickly it’ll take 500+ hours to get to the final destination. I’ve found most people don’t hear the later changes but some do and they tell me the exact same thing about how the burn in changes the sound, which is more than a little bit telling...
Litz wire sounds horrible at first as there is a ton of dielectric surface area to burn-in but the enamel insulation burns in faster vs teflon.
Shipping, or even moving a cable causes the need for more burn-in, shippping might take 24 hours to recover, moving a cable might only take a couple hours to go back to the way it was.
Most brand new components sound horrible for the first few hours, and like most things they rapidly improve but it still takes hundreds of hours to sound their best... but you never know how much the unit has been tested at the factory... those who build their own components are very familiar with how bad they are at first.
Parts with rhodium plating take much longer vs gold plating, and they do an odd thing in that they go back and forth, one minute they may sound fine, the next they sound dark and closed-in... this goes on for a long time and is very annoying.
Anything that I sell gets a good bit of burn-in either in my system or on an AudioDharma cable cooker.
I do think acclimation is an issue but it doesn’t take that long for a listener to adjust and it doesn’t explain burn-in, and it doesn’t account for the fact that MANY of my customers describe what they hear wrt burn-in in almost exactly the same way.
