〜損ねる・〜損なう
miss (the chance to), fail to
Verb ます-stem + 損ねる / 損なう
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損ねる and 損なう after a ます-stem mean missing the chance to do something, or failing to do it properly: 寝坊して、電車に乗り損ねた, "I overslept and missed the train".
Common combinations: 乗り損ねる (miss a train or bus), 食べ損ねる (miss a meal), 見損なう (miss seeing something), 言い損ねる (not get round to saying). There's usually a sense of regret.
見損なう also means "misjudge someone": 君を見損なったよ, "I thought better of you" or "I've lost respect for you". It's the opposite of 見直す.
損ねる is more common in speech; 損なう is a little more formal. Both come from 損, "loss".
Examples
寝坊して、電車に乗り損ねた。
I overslept and missed the train.
忙しくて、昼ご飯を食べ損ねた。
I was so busy that I missed lunch.
話題の映画を見損なった。
I missed the film everyone's talking about.
大事なことを言い損ねた。
I didn't get round to saying something important.
君を見損なったよ。
I thought better of you.