There's not much news flow with Konekt. The next update (barring more acquisitions) will be the annual report in two months. I'm expecting 3c EPS, maybe 3.5c, and revenue around $43m (and, if adjusted for the acquisitions, pushing towards $50m next year). And I'm hoping for confirmation that all the acquisitions are bedding down ok. Possibly a small dividend if there are franking credits and no further acquisitions planned in the near future.
Given that, and the FY17 growth already built-in from the acquisitions, I don't see that a trailing PE ratio of 20x and a market cap of $50m would be at all unreasonable (consider some of Konekt's peers in health services, admittedly most of them much larger). I think a takeover would have to pay over $50m, given how tightly held the shares are (and keeping in mind there's no debt).
In the longer term... instead of a takeover, how about inclusion in the ASX300 in five years?