Set up a pattern Voice in Noatikl on channel 1.
 
Set another Voice on channel 16. Set this Voice's Micro Controller 1 to send  CC22 with the mode set to 1-LFO (min, max, min), beat frequency 2000.
 
Set Noatikl to sync to the IAC port for which you are generating MIDI clock from Logic!
 
Open the Logic environment. Cable a tempo fader between midi ports and  sequencer input - set it to listen for CC22 on channel 16
 
Set the piece tempo in Logic to <50 and hit play.
 
The Tempo of the ensuing Piece ranges between 50 and 172 BPM according to the cycle output of the controller LFO in noatikl.
 
Sit back and feel clever!

Note that the choice of midi channels and CC22 is entirely arbitrary. You can use any channel or CC you want. As long as the settings in Noatikl are matched to the settings in Logic, you are in business!
 
You can, of course, set up multiple "voices" in Noatikl simultaneously generating CC 22 on channel 16 to different rules and specifications to create really strange and unpredictable tempo effects. There is a lot more generative potential here than you can get from a simple tempo envelope.