His Spectrum Analyser pictures are not much help. About all they prove is that his local DCF77 signal is very, very weak.
In order to investigate the problem, he needs to accurately measure the modulation type, bandwidth and the frequency of the Loop TX, and then analyse exactly how the interference is occuring.
Is the Lawnmower system genuinely overlapping in frequency with DCF77? Or does the Clock receiver have insufficient Selectivity to separate the two? Or is the Clock receiver being overloaded? Or is the local DCF77 signal just too weak?
It is critical that he use a resonant and shielded magnetic antenna to measure the DCF77 signal, so as to eliminate the electric-field rubbish his Spec-An is picking up. If he has simply used a random wire antenna, his spectrum plots will be pretty much meaningless.
Note-1. Being a buried loop, the Lawnmower antenna is designed to radiate only a Magnetic field (eg the earth shielding and the loop balance should suppress any EM waves). Either the loop is incorrectly installed, or the transmitter and feed lines are physically close to his DCF77 Clock, and/or the DCF77 signal is very weak.
Note-2. In the USA, the equivalent time signal is WWVB on 60KHz. It is possible that the Lawnmower system he has installed was intended for North America only, and is not authorised for use in Europe.
Note-3. I don't know what the Service Area of DCF77 is, but it is likely that it's signals will be very weak in Denmark. It is possible that he is simply outside the DCF77 service area.