Here is a screenshot of and a link to my test spreadsheet. It makes the requirements very clear:
First using SPLIT to split the strings between comma from the column A. Then using SUBSTITUTE to find the string "linkText" from the text in B1 and replace it with the strings from the returned strings from the split function. Then joining them all together.
NOTE: Just keep the reference string in a fixed cell in your sheet. <a href='https://samplewebsite.com/search?q=linkText'>linkText</a> to be used in the formula. As seen in above screenshot it is fixed in cell B1.
Alternate Solution using ArrayFormula:
You can also use it with arrayformula so you only have to put it in the first row and no need to drag down the formula to the column, it will automatically be expanded down just make sure to clear the cells below or it will throw an error.
=arrayformula(regexreplace(substitute(transpose(query(transpose(IF(IFERROR(SPLIT(A2:A, ","))<>"", "♦<a href='https://samplewebsite.com/search?q="&SPLIT(A2:A, ",")&"'>"&SPLIT(A2:A, ",")&"</a>", )),,9^9)), "♦", char(10)), "^\s", ""))
Result:
You may also have a look in below references for more information.
References: