However it wasn't completed a wasted journey as a well-taken hat-trick from centre Hogg meant Glasgow picked up a precious losing bonus point as they look to secure a RaboDirect PRO12 semi-final clash come the end of the season.
However Lineen was left wishing his side had shown as much care with their discipline as Hogg did with his three tries after tasting defeat.
"It was a frustrating day for us, our discipline wasn't good at all," he told the Scotsman.
"Munster challenge you around the discipline area and you need to make sure you watch yourselves and we didn't do that.
"They are a very streetwise side and we paid the penalty; I think we conceded 14 or 15 penalties.
"We look at it now and we look at our discipline and defence weren't good which are usually strengths of ours.
"Stuart Hogg was outstanding, as an individual effort in attack he was fantastic, it was just disappointing that we couldn't back it up with a good defensive display.
"We showed some tremendous character in that second half to come back and take a losing bonus point, but Stuart took his tries really well.
"To take that away from Munster is a great display and it gives us a lot of positives to work on going into Treviso next week."
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