If you are looking for ways to punish solo-Q Jinx players, then it shouldn't be too difficult. Have an ADC who can trade well, such as Lucian, and a descent engage support, and punish her subpar early game. Especially at level 1, since most players will take her Q for the passives on it, meaning that she'll have no abilities until level 2. Zone her from getting CS, and have your support punish her for walking too far forward.
Honestly though, the lack of mobility is somewhere that you can punish, but not very easily. You can engage on her without too much trouble, and if she pushes her lane too hard (such as with Fishbones), then a descent jungle gank can get your team a kill pretty easily. A good Jinx, though, can be difficult to punish. They'll probably try to not push the lane, and they'll avoid trading with you until later into the game. However, doing so will make them drop in CS if they choose not to force you away from zoning them.