This root and ones like it were used for Elvish words for “silver” throughout Tolkien’s life. The earliest iteration of the root began with T-, however, appearing as unglossed ᴱ√TELEPE in the Qenya Lexicon of the 1910s with derivatives like ᴱQ. telpe “silver” (QL/91). Even at this early stage, however, the Gnomish equivalent was G. celeb (GL/25), but the reason for the t/c variation isn’t clear. The closest explanation is that palatal consonants like [c] became [tʲ] in Qenya vs. [k] in Gnomish (compare ᴱQ. tyava- vs. caf- “taste” from ᴱ√TYAVA) but this doesn’t explain why the Qenya form has initial t- rather than ty-.
Elsewhere in the Elvish languages of the 1910s there seem to be etymological variations of [k] vs. [t], such as ᴱQ. kitya- vs. G. tisca- “tickle” (QL/47; GL/70) and ᴱQ. talqe vs. G. celc “glass” (QL/88; GL/25), so perhaps ᴱQ. telpe vs. G. celeb “silver” is another example of this. Another explanation appeared in Early Noldorin word lists from the 1920s, where the primitive form was ᴱ✶kelekwé which produced ᴱN. celeb as usual but the Qenya form was ᴱQ. telqe with “k = t by dissimilation” (PE13/140), presumably away from q.
In The Etymologies of the 1930s Tolkien had the root ᴹ√KYELEP with variant ᴹ√TELEP, producing N. celeb but ᴹQ. tyelpe or ᴹQ. telpe (Ety/KYELEP). But Tolkien revised this entry, marking ᴹ√TELEP as questionable and introducing the Telerin form ᴹT. telpe < ᴹ√KYELEP, concluding that ᴹQ. telpe must be a loan from Telerin. This finally put N. celeb vs. ᴹQ. telpe (borrowed from Telerin) on a solid phonological foundation. Tolkien seems to have stuck with this explanation, mentioning this borrowing from Telerin to Quenya several times in his later writings, with the proper but now archaic Quenya form being Q. †tyelpë (Let/426; PM/356; UT/266).
Tolkien used the word Q. ve for “as, like” in Quenya for much of his life, but its etymological origins varied. In the the Qenya Lexicon of the 1910s, Tolkien had two distinct roots for “similarity”: unglossed ᴱ√SĒ with variant ᴱ√SENE⁽²⁾ and derivatives like ᴱQ. se “as, like, in manner of” and ᴱQ. (a)sesta- “to liken, compare” (QL/82), and also ᴱ√VĪ “as” with variant ᴱ√VI‘I and derivatives like ᴱQ. ve “as, like”, ᴱQ. vealta- “to resemble”, and ᴱQ. vīkana- “compare” (QL/101). The semantic distinction between the two roots isn’t clear, and in the contemporaneous Gnomish Lexicon there was a third set of forms beginning with fel- such as G. fel “as, like”, G. feleg “equal”, and G. feltha- “resemble, seem like” (GL/34).
In later notes Tolkien proposed a variety of primitive origins for Q. ve “as, like”: ✶wē (we’e) in 1957 Quenya Notes (VT49/10; PE17/189), ✶bē from notes from the late 1950s or early 1960s (VT49/32 note #10), and ✶vai as a relative of suffixal -va in notes from 1968 (VT49/32 note #10). As there are not any definite Sindarin cognates for Q. ve in Tolkien’s published writings, it is hard to know which of these is more likely.
Neo-Eldarin: For purposes of Neo-Eldarin, I would go with primitive ✶bē as the most widely excepted option, producing S. ✱be “as, like”.