Did you receive the micro tip a couple of days ago? 1 satoshi and 1/500th of a sat as the TX fee.
1 satoshi arrived at tippin.me

I didn't check it earlier as nobody (else) uses it

I saw the link on your mobile UID, so I thought I'd try it out to see if the main-net was connected.
I now have 1.0002 sats more I can receive from others, so it looks like no lightning node receives any of the TX fees so the Lightning Network could possibly be a closed system?
The Lightning Network is a closed system indeed. It seems your node charges 0.2% fee on all transactions, including small ones. For bigger transactions, other nodes in the channel might charge a fee too, so the node you're connected to pays them part of the fee.
I've got one connection in and my one out.
lnbc1pwjtk4vpp506yzzt4rvqvyquf58qpa7rrhyd97yfqn247a9nmarh3qjmcyprrqdqqxqr4rqrzjqwryaup9lh50kkranzgcdnn2fgvx390wgj5jd07rwr3vxeje0glc7z89pqqq96gqqqqqqqlgqqqqqeqqjquuf0083l0unn03hm4yu5wtv9u0uyjku56vwpw46eknxwj9l8q9sny4hucx2llw68vfkz6nvdcl8483py39hskht7canx49gt239cy7cpcrtm2p
My testnet has over a dozen out and none in.
*edit*
Drats! You were online a moment ago! Now you're offline again...