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Only four words carry L second and P third, and just one of them is a word you would recognise.
ALPHA is the first letter of the Greek alphabet and, by extension, the first or dominant thing in any set. Everyone knows it, and nothing else here comes close.
OLPAE and OLPES are two plurals of olpe, a Greek jug with a curved handle. ULPAN is a Hebrew language school for new arrivals in Israel.
Four of the four start with A, O or U. There is no consonant opening at all, which is unusual even among groups this small.
That turns the first box into a short list. Confirm it and you have the word, unless you have landed on the two olpe plurals, which share an O.
A leather flask or a jug with a curved handle, from ancient Greece. OLPAE and OLPES are both accepted plurals, which is why two of these four are really the same word.
A school teaching Hebrew intensively to new immigrants. The word is Hebrew for studio or workshop.
On a real puzzle, effectively yes. The others are specialist enough that a setter would be unlikely to reach for them.
English mostly puts LP at the end of a word, as in HELP and GULP. Moving the pair to positions two and three leaves almost nothing standing.