W lists the  date of the earliest recorded use in English ...of the sense which the date precedes. 
( W ( ( lists ( ( ( ( the date ) ( of ( ( the ( earliest ( recorded use ) ) ) ( in English ) ) ) ) ... ) ( of ( ( the sense ) ( which ( ( the date ) precedes ) ) ) ) ) ) . ) )
(ROOT (S (NP (NNP W)) (VP (VBZ lists) (NP (NP (DT the) (NN date)) (PP (IN of) (NP (NP (DT the) (JJS earliest) (VBD recorded) (NN use)) (PP (IN in) (NP (NNP English))))) (: ...) (PP (IN of) (NP (NP (DT the) (NN sense)) (SBAR (WHNP (WDT which)) (S (NP (DT the) (NN date)) (VP (VBZ precedes)))))))) (. .)))
The sense which the date precedes is not the only information listed by W. 
( ( ( The sense ) ( which ( ( the date ) precedes ) ) ) ( ( is not ) ( ( the ( only information ) ) ( listed ( by W. ) ) ) ) )
(ROOT (S (NP (NP (DT The) (NN sense)) (SBAR (WHNP (WDT which)) (S (NP (DT the) (NN date)) (VP (VBZ precedes))))) (VP (VBZ is) (RB not) (NP (NP (DT the) (JJ only) (NN information)) (VP (VBN listed) (PP (IN by) (NP (NNP W.))))))))