度数 - number of times (lit.), frequency
数年 - A few years
年次(ねんじ)- yearly
Why, hello there! It’s been… a very, VERY long time since I’ve played!
次発(じはつ)= next train
tsuki = moon
月
Hi @AlexPirlog ! Since it’s your first time posting here, we’ll let this one go. This is Kanji shiritori. So it’s not the last syllable that you need to start with but the last kanji.
Have another go with: 次発
発表 (はっぴょう) = announcement
表明 (ひょうめい) → declaration; indication; representation; manifestation; demonstration; expression; announcement; assertion
明晰(めいせき)clear/distinct
Hint on getting the next word
Rule 5 may be useful here:
Multiple kanji overlaps are allowed, that means you can start your word with more than just the final kanji of the last word. For example, if someone plays 学校生活, it is valid to play 生活費 as the next word.
明晰夢 (めいせきむ) - lucid dream
Sneaky. 
technically, the next word should have started with 晰, but I can’t find a single word that starts with it other than 晰(あき)らか (clear), so I guess I’ll continue with 夢
夢中(むちゅう)to be absorbed in/put in a trance by something
中国人(ちゅうごくじん) ー Chinese Person
as JamesBunpro hinted above, Rule #5 allows multiple kanji overlaps.
人等 (ひととう)- people etc.
等号 とうごう equals sign
号令 (ごうれい) : order/command
oh yay! I didn’t know that
令状(れいじょう)warrant
状況 (じょうきょう)state of affairs
Another tricky one! 
状況報告 (じょうきょうほうこく) - status report