DJ Eddie Trunk recently hosted a radio broadcast from the House of Blues in Houston, and during a Q&A session with fans was asked about his opinion on the future of Rush.
"... [Neil Peart]'s out. I think he's done...done...done. However Geddy is the total opposite. I talked to Geddy a couple times ... and Geddy told me he is actually reinvigorated. He told me at the time he made some changes to his diet which helped his voice ... and he had a ton of energy, and he wanted to make music and continue in some way. Alex seems to be somewhere in the middle. Alex has said publicly he absolutely wants to do some stuff again. He's doing some producing, he's doing some writing. There has been talk about a band called Lee-Lifeson, which would be the two of them going out and doing stuff together. They would never call it Rush. Those guys are too classy...they would never do that... They would call it potentially Lee-Lifeson, maybe play some Rush tunes and make new music, because they want to continue to create new music as well. I've heard rumors about that ... It's up to them..."
Whether Trunk has any actual inside information or is just speculating based on what both Geddy and Alex have said in recent interviews isn't clear. However, it should be noted that Trunk was referencing some older interviews and conversations he'd had with the band, along with several already publicly available interviews that have taken place in the last couple of years. He also admits that, "he's heard rumors", so it's unlikely he has any kind of inside track. Both Geddy and Alex have said on several occasions that the pair expect to work together in some capacity in the future, so any speculation of a future Lee-Lifeson collaboration (personally, I prefer Dirxst) isn't really much of a reach. In Alex Lifeson's Sirius XM interview back in April he said the following:
... Ged and I will probably do something together. He's been really busy. He's working on his own little book project. He's become quite a bass guitar collector, and he wants to do a little thing on the history of the instrument. So that's keeping him super busy. ...