It depends on the situation. As a jungler I ask of just few things from my team.
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Depending on who I'm jungling as and where I start, I need a decent leash. You don't need to stay until the mob is almost dead, just hit it first to take aggro along with a few other hits to deal some damage and you can get to your lane.
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If you're on the opposite lane of where I start, then please check out the main camp(red/blue) and just be on the lookout for an early invade. You don't need to try and fight them, and you don't have to put a ward down(though Me love you long time if you do that) but please just check it out I can know if I need to get over there and fight, or take that buff from the enemy jungle. ESPECIALLY if the enemy jungler is one that's well know for being good at invading.
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Don't push like a maniac AND forget to ward. If you push and your enemy is able to set up a good lane freeze and does so then I'm not going up there where I have to dive just to even get close to him. Learn how to manage minion waves.
And perhaps most importantly, DON'T FEED!
You get in a bad fight or get ganked and die once or so, it happens. Learn from that and play smarter. If you get countered or just outplayed that's alright too. Just play smart STAY BACK, ask for help, and I'll try and get over there and hopefully we can make something happen. If you feed over and over and over and over and over, then you're on your own. I'm not going near that shit.