It’s not that difficult, but you have to understand what you do.
Once you have the mAP Lite operating as bridge, then there is no own IP address (192.168.88.1) anymore. Only an IP address from your WLAN network. If the WLAN connection is not made, then the IP address is GONE. And then without WinBox there is no connection until the WLAN connection is made.
Quickset has a very limited set of possibilities! It is far from the easiest way to config that device without losing connection.
So you want to bridge , and use the WLAN to provide an IP address to the PC (and to the mAP Lite). This setup is always troublesome !!! 802.11 standard does not allow this. It has to be faked with the “station-pseudobridge” and there DHCP fails in many conditions, because the MAC address of the mAP Lite is used as only possible MAC for the communication. The other option is to work in CPE router mode with NAT. Then the local network of the mAP remains active all the time as 192.16.88.0/24 , and all connected devices to the ethernet get NATted in the WLAN network. Internet access or access to devices in the WLAN will work.
See http://forum.mikrotik.com/t/configuring-local-network/155928/1
Other hints: give a static IP address to the bridge of the mAP, it may be in the 192.168.88.0/24 range or in the WLAN range. That static IP address is important to gain connection without WinBox. The PC will also need to get an IP address in the same subnet if DHCP is not available or does not work as expected. Not working of DHCP in bridge mode is the most probable reason why you lost connection: the PC did not have an IP address in the same subnet as the mAP.
WARNING: Quickset will clear that static IP address. Do not use Quickset except for the initial step. Work with static IP address in the “bridge” setup. This makes you indepndent from the WLAN status in “bridge” mode. You can combine static and DHCP client IP addresses later on te bridge with Webfig (it cannot be the same address, but must be in the same subnet so choose the static outside the IP pool but in the same subnet.) The bridge can have many addresses, so you can still maintain 192.168.88.1 as extra IP address just to get in via that range of addresses. Adding a static IP address makes the mAP to have an IP address when the WLAN connection is not active in “bridge” mode. In “router” mode the mAP always has it’s own subnet independent from the WLAN.
IF you want to maintain the Wifi connection from the PC to the mAP, even as wifi is used to connect to the WLAN network as uplink, then you need to use the “Repeater Setup” to make the mAP a station and an AP at the same time with just one wifi radio. There is a “Setup Repeater” button in Webfig for WLAN1.
Very frustrating not being able to find an easy way to configure such simple use case. How about if MikroTik added a [Quick Set > WLAN Client] option? Select WLAN, enter password, done! That’s how devices should work, simple and easy!
No Mikrotik is not in that “simple and easy” market, their “added value” is that universal configurable RouterOS, with hundreds of options and possibilities to be mixed and matched at will. And WLAN-LAN bridge is only possible and easy with a Mikrotik WLAN, because of their extension of the 802.11 wifi standards. Otherwise it is always a problem, even with any “Range extender” or “Repeater” off the shelf which can only just do that. A wifi-dongle is yet a different thing, but is maybe the simple device you need.