Is there any way to store a session for only 2/3 request?

You can keep two sessions for example. One with the count of request and one with the original session. Then based on the that count you reuse the session or not

if ($request->session()->has('http_count') && $request->session()->get('http_count') > 0) {
    $request->session()->set('http_count', $request->session()->get('http_count') - 1);

    $request->session()->keep(['my_session']);
}

Note: This is the basic idea and I might have something wrong, I just did it out of my head on my phone :P

Thanks @bobbybouwmann for the idea.

I was also looking for if this can be done via http header like ThrottleRequests as laravel 5.2 or via caching the limit :)