Oracle 21c

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with qry as (
select 1 as id, '<div>What would you like to do today?<a href="#" data-jump="111">Client Service</a><a href="#" data-jump="112">Customer Service</a><a href="#" data-jump="113">Tecnical Service</a></div>' as html_string from dual
union
select 2 as id, '<div>What would you like to do today?<a href="#" data-jump="111">Client Service</a><a href="#" data-jump="112">Customer Service</a><a href="#" data-jump="113">Tecnical Service</a></div><a href="#" data-jump="114">Other Service</a></div>' as html_string from dual
),
rcte (id, html_string, lvl, contents, data_jump) AS (
  SELECT ID, html_string, 1,
    REGEXP_SUBSTR(html_string, '<a.*?>(.*?)</a>', 1, 1, NULL, 1),
    REGEXP_SUBSTR(html_string, 'data-jump="(.*?)"', 1, 1, NULL, 1)
  FROM qry
  UNION ALL
  SELECT ID, html_string, lvl + 1,
    REGEXP_SUBSTR(html_string, '<a.*?>(.*?)</a>', 1, lvl + 1, NULL, 1),
    REGEXP_SUBSTR(html_string, 'data-jump="(.*?)"', 1, lvl + 1, NULL, 1)
  FROM rcte
  WHERE REGEXP_SUBSTR(html_string, '<a.*?>(.*?)</a>', 1, lvl + 1, NULL, 1) IS NOT NULL
  OR REGEXP_SUBSTR(html_string, 'data-jump="(.*?)"', 1, lvl + 1, NULL, 1) IS NOT NULL
)
SELECT id, contents, data_jump
FROM rcte
ORDER BY id, lvl

ID	CONTENTS	DATA_JUMP
1	Client Service	111
1	Customer Service	112
1	Tecnical Service	113
2	Client Service	111
2	Customer Service	112
2	Tecnical Service	113
2	Other Service	114