Hello,
a reason could be that the drivers for your stick are not included in the krenel of your OpenELEC. You can check this when logged in with SSH using:
lsusb - this shows the connected devices, here you should see your stick conected e.g. for my Freecom Stick(here recognized as WideView)stick:
#lsusb
Bus 001 Device 002: ID 0424:9512 Standard Microsystems Corp.
Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 001 Device 003: ID 0424:ec00 Standard Microsystems Corp.
Bus 001 Device 004: ID 046d:0b07 Logitech, Inc.
Bus 001 Device 008: ID 14aa:0226 WideView Technology Inc.
Bus 001 Device 006: ID 046d:c71e Logitech, Inc.
Bus 001 Device 007: ID 046d:c71f Logitech, Inc. diNovo Mini Wireless Keyboard
dmesg | grep dvb - check if a dvb Driver is loaded, for my system stick is loaded
#dmesg | grep dvb
[ 12.265478] dvb-usb: found a 'WideView WT-220U PenType Receiver (Typhoon/Freecom)' in cold state, will try to load a firmware
[ 15.694015] dvb-usb: downloading firmware from file 'dvb-usb-wt220u-fc03.fw'
[ 15.904124] usbcore: registered new interface driver dvb_usb_dtt200u
[ 17.407747] dvb-usb: generic DVB-USB module successfully deinitialized and disconnected.
[ 18.518629] dvb-usb: found a 'WideView WT-220U PenType Receiver (Typhoon/Freecom)' in warm state.
[ 18.519640] dvb-usb: will use the device's hardware PID filter (table count: 15).
[ 18.534496] dvb-usb: schedule remote query interval to 300 msecs.
[ 18.534527] dvb-usb: WideView WT-220U PenType Receiver (Typhoon/Freecom) successfully initialized and connected.
If your kernel does not include the first try the newest version of OpenELEC - actual 3.0.6 with kernel 3.6.11. If this does not help you have to compile a kernel including the Drivers for your stick
If the stick is present with loaded drivers and still causes problems try a bigger power-supply (e.g. for iPAD)
Best regards
Christoph