Week One in US series is sentimental (7)
I believe the answer is:
mawkish
'is sentimental' is the definition.
(synonyms)
'week one in us series' is the wordplay.
'week' becomes 'wk' (common abbreviation).
'one' becomes 'i' (Roman numeral).
'in' indicates putting letters inside.
'us series' becomes 'mash' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'wk'+'i'='wki'
'wki' inserted into 'mash' is 'MAWKISH'.
Can you help me to learn more?
(Other definitions for mawkish that I've seen before include "Effusively or insincerely emotional" , "Sentimental in maudlin way" , "Insipid; maudlin" , "Cloying" , "Falsely sentimental" .)