Meaning of 軽んじる and 舐める


I'm completely stumped here. The following passage is from a book, but I just
cannot make sense of what 軽んじる and 舐める are supposed to mean in this context -

Person A:

> それより貴様、使いっ走りに出され、能力も軽んじられて……秋元に舐められ放題ではないか

Person B:

> 僕があの方にナメられないわけないじゃないですがぁ

Even after looking at a dictionary, the translation I thought of in my head
doesn't make too much sense. I think they both refer to 'underestimating' so
perhaps person A saying Akimoto underestimates his abilities and person B
saying he isn't? Or is 軽んじる and 舐める used differently? Especially considering
放題 follows 舐められ and I've never really seen 放題 much so far in the time I have
been learning Japanese.

Please help me understand this dialogue! Thank you!




軽んじる is a rather "neutral/objective" word which is usable in a serious
article. 軽視する is a synonym. 舐める (lit. "to lick") here is a slangy/colloquial
word and the meaning is closer to
[ばかにする](http://eow.alc.co.jp/search?q=%E3%81%B0%E3%81%8B%E3%81%AB%E3%81%99%E3%82%8B)
and [あなどる](http://jisho.org/search/%E4%BE%AE%E3%82%8B). Person A just
rephrased what he has said using a more colloquial and catchy phrase. This 放題
means you are always being "licked" but does nothing about that. See [this
question](https://japanese.stackexchange.com/q/29894/5010).

僕があの方にナメられないわけないじゃないですかぁ is a triple negative sentence. ナメられないわけない means
"There is no way I won't be despised = I will certainly be despised," and
じゃないですかあ means "...isn't that so? / ...don't you think so?". So the sentence
basically means "Of course that person will make light of me! Why not?". The
sentence implies Person B is well aware of such fact but he does not care.

